A block of mass m slides down from rest on a rough incline of length 8m where the incline makes an angle of 30° with the horizontal. The block comes to rest on the rough horizontal surface after sliding for 4 m. The coefficient of kinetic friction on the incline is 0.30. The coefficient of kinetic friction on the horizontal surface is different from the incline, find this value using two approaches: (i) Using Newton's laws of motion and Kinematics and 30⁰ (ii) Using Work-Kinetic Energy Theorem (Give answer to 2 sig. figs.) 4 m 8 m WA

A block of mass m slides down from rest on a rough incline of length 8m where the incline makes an angle of 30° with the horizontal. The block comes to rest on the rough horizontal surface after sliding for 4 m. The coefficient of kinetic friction on the incline is 0.30. The coefficient of kinetic friction on the horizontal surface is different from the incline, find this value using two approaches: (i) Using Newton's laws of motion and Kinematics and 30⁰ (ii) Using Work-Kinetic Energy Theorem (Give answer to 2 sig. figs.) 4 m 8 m WA

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter2: Newtonian Mechanics-single Particle

Section: Chapter Questions

Problem 2.16P: A particle is projected with an initial velocity 0 up a slope that makes an angle with the...

See similar textbooks

Similar questions

(b) The coefficient of static friction between Teflon and scram- bled eggs is about 0.04. What is the smallest angle from the horizontal that will cause the eggs to slide across the bottom of a Teflon-coated skillet?
(b) The coefficient of kinetic friction between a 40 kg crate and the ware- house floor is 70% of the corresponding coefficient of static friction. The crate falls off a forklift that is moving at 3 m/s and then slides along the warehouse floor for a distance of 2.5 m before coming to rest. What is the coefficient of static friction between the crate and the floor?
(b) What is the minimum coefficient of friction between her shoes and the cliff?
A 100-N block on a rough 30o-incline is acted upon by a force P as shown causing it to accelerate at 2 m/s2 up the plane. The coefficient of kinetic friction is 0.30. (a) Draw the FBD of the block (b) Find the magnitude of P.
A mass is given an initial velocity ?0 = 3.4 ?/? up a 15° incline. (a) If the coefficient ofkinetic friction between the mass and the incline is ?? = 0.26, how long before the masscomes to rest? (b) If the coefficient of static friction is ?? = 0.29, will the mass slideback down the incline?
A 15 lb block slides down a plane inclined at 300 to the horizontal. Find theacceleration of the block: (a) if the plane is frictionless (b) if the coefficient ofkinetic friction is 0.4.
A skier of mass M* Kg starts from rest down the hill inclined at angle 0. He skies distance "D' meter down the hill and then coasts for X' meter along level snow until be stops. Find the coefficient of kinetic friction between the skier and the snow. al tle disle
A force of 600 N is applied on a block of mass M to pull it at a constant velocity up the incline at an angle of 30degrees with the horizontal. The coefficient of kinetic friction between the surface of the incline and the block is 0.5. Calculate the mass of the block.
An inextensible cable of negligible mass is used to drag a log on a roughhorizontal surface. The tension in the cable is 850 N and it acts at an angle of 35°to the horizontal. The log is dragged over a distance of 45m. The frictional forceexperienced by the log is 150 N. Calculate the net force acting on the log.
A box with a mass of 0.5 slugs lies on an inclined plane making an angle of 30o with the horizontal. If the coefficient of kinetic friction between the box and the plane is 0.4, what is the magnitude of the force that must be applied parallel to the incline to keep the box moving down the incline at a constant speed?
A loaded penguin sled weighing80 N rests on a plane inclined atangle u 20 to the horizontal (Fig.6-23). Between the sled and theplane, the coefficient of staticfriction is 0.25, and the coefficient ofkinetic friction is 0.15. (a) What isthe least magnitude of the forceparallel to the plane, that will preventthe sled from slipping down the plane? (b) What is the minimummagnitude F that will start the sled moving up the plane? (c)What value of F is required tomove the sled up the plane at constantvelocity?
A block of mass m = 1 kg is found on an inclined plane that makes an angle 30° with the horizontal. The coefficient of static friction and coef- ficient of kinetic friction between the block and the incline are: 71, = 0.6 and p, 0.5. Take the positive di rection to be up the inclined plane 130° With the block initially at ret, the acceleration of the block is